This is a practice exam question and I would like to double check my answer as the practice exams have no solutions.

Let S be the surface in R3 that is the part of the ellipsoid 2x2 + y2 + 22 = 2 satisfying 3/ 2 1. Consider the vector eld F(x, y, 2) = (z, 22 105,230) + 005(xy2), x)- Compute ffs curl F - dS. (You should assume that S has the same orientation as the positive orientation of the ellipsoid.)